论文标题
$ x_0（n）$的Bielliptic商曲线曲线
Bielliptic quotient modular curves of $X_0(N)$
论文作者
论文摘要
令$ n \ geq 1 $为非平方的免费整数，让$ w_n $为$ x_0（n）$的Atkin-Lehner参数组的非平凡子组，使模块化曲线$ x_0（n）/w_n $至少具有两个属。我们确定所有对$（n，w_n）$，以便$ x_0（n）/w_n $是bielliptic曲线，对$ x_0（n）/w_n $的对$（n，w_n）$，具有无限数量的四倍点，超过$ \ nathbb {q} $。
Let $N\geq 1$ be a non-square free integer and let $W_N$ be a non-trivial subgroup of the group of the Atkin-Lehner involutions of $X_0(N)$ such that the modular curve $X_0(N)/W_N$ has genus at least two. We determine all pairs $(N,W_N)$ such that $X_0(N)/W_N$ is a bielliptic curve and the pairs $(N,W_N)$ such that $X_0(N)/W_N$ has an infinite number of quadratic points over $\mathbb{Q}$.
